Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies

@article{Iglesias2018ShapeAwareMO,
  title={Shape-Aware Matching of Implicit Surfaces Based on Thin Shell Energies},
  author={Jos{\'e} A. Iglesias and Martin Rumpf and Otmar Scherzer},
  journal={Foundations of Computational Mathematics (New York, N.y.)},
  year={2018},
  volume={18},
  pages={891 - 927}
}
A shape sensitive, variational approach for the matching of surfaces considered as thin elastic shells is investigated. The elasticity functional to be minimized takes into account two different types of nonlinear energies: a membrane energy measuring the rate of tangential distortion when deforming the reference shell into the template shell, and a bending energy measuring the bending under the deformation in terms of the change of the shape operators from the undeformed into the deformed… 
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